It can't be A or D because they have negatives. you can't have negative donuts. you can't have 92.75 donuts therefore it's C
Just set up the equation and solve for x, that is the time.
40(0.9-x) = 5x
36 = 45x
x = 36/45
x = 0.8
It took Talia 0.8 hours (48 minutes) to walk home.
Step-by-step explanation:
8 - 4p + 2p - 12
8 - 2p - 12
-2p - 4 = 0
- (2p + 4 = 0
2p = - 4
p = - 4 /2
p = - 2
You are going to need to post the graph in order for your question to be answered.
Answer:
![\frac{1}{2} (8)(x+4)=3(x+6)\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%288%29%28x%2B4%29%3D3%28x%2B6%29%5C%5Cx%3D2)
Step-by-step explanation:
![\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20bh%3Dbh%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%288%29%28x%2B4%29%3D3%28x%2B6%29%5C%5C4%28x%2B4%29%3D3x%2B18%5C%5C4x%2B16%3D3x%2B18%5C%5C4x%3D3x%2B2%5C%5Cx%3D2)
1. set the equation for the area of each shape equal to each other
2. simplify each side until you get ![4x+16=3x+18](https://tex.z-dn.net/?f=4x%2B16%3D3x%2B18)
3. subtract 16 from both sides which will give you ![4x=3x+2](https://tex.z-dn.net/?f=4x%3D3x%2B2)
4. subtract 3x from both sides which will give you the value of x. ![x=2](https://tex.z-dn.net/?f=x%3D2)
5. check that
is correct by plugging it into the equations
triangle:
![area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24](https://tex.z-dn.net/?f=area%3D%5Cfrac%7B1%7D%7B2%7D%20%288%29%282%2B4%29%5C%5Carea%3D4%286%29%5C%5Carea%3D24)
rectangle:
![area=3(2+6)\\area=3(8)\\area=24](https://tex.z-dn.net/?f=area%3D3%282%2B6%29%5C%5Carea%3D3%288%29%5C%5Carea%3D24)
the areas are the same